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Finding the Fourth Proportional to 32,604.64, 48,900 and 9,224.80

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Solution

The fourth proportional to 32,604.64, 48,900 and 9,224.80 is: 13,835.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,604.64 : 48,900 = 9,224.80 : x
  2. Step 2: Convert to fraction form
    32,604.64/48,900 = 9,224.80/x
  3. Step 3: Cross multiply
    32,604.64x = 48,900 × 9,224.80
  4. Step 4: Simplify right side
    32,604.64x = 451,092,720.00
  5. Step 5: Solve for x
    x = 451,092,720.00/32,604.64
  6. Step 6: Final answer
    x = 13,835.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.